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Finding the Third Proportional to 35,790 and 80,859.75

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Solution

The third proportional to 35,790 and 80,859.75 is: 182,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790 : 80,859.75 = 80,859.75 : x
  2. Step 2: Convert to fraction form
    35,790/80,859.75 = 80,859.75/x
  3. Step 3: Cross multiply
    35,790x = 80,859.75 × 80,859.75
  4. Step 4: Simplify right side
    35,790x = 6,538,299,170.06
  5. Step 5: Solve for x
    x = 6,538,299,170.06/35,790
  6. Step 6: Final answer
    x = 182,685.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.